ArticleJournal of personalized medicine2022
A PDE Model of Breast Tumor Progression in MMTV-PyMT Mice.
Article in Journal of personalized medicine, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Data-driven modeling of spatiotemporal dynamics using multimodal imaging data.PLoS computational biology · 2026Article
- Towards the tumor microenvironment scoring methods for immune checkpoint inhibitor response.NPJ precision oncology · 2026Article
- Article
- Validating the predictions of mathematical models describing tumor growth and treatment response.ArXiv · 2025Article
- Mathematical models of intercellular signaling in breast cancer.Seminars in cancer biology · 2025Review
- Article
- Oxygen, angiogenesis, cancer and immune interplay in breast tumour microenvironment: a computational investigation.Royal Society open science · 2024Article
- Mathematical and Machine Learning Models of Renal Cell Carcinoma: A Review.Bioengineering (Basel, Switzerland) · 2023Review
- Article
- Infantile hemangioma models: is the needle in a haystack?Journal of translational medicine · 2023Review
- Article
- Patient-Specific Mathematical Model of the Clear Cell Renal Cell Carcinoma Microenvironment.Journal of personalized medicine · 2022Article
- Exploring approaches for predictive cancer patient digital twins: Opportunities for collaboration and innovation.Frontiers in digital health · 2022Article
Corrections and comments
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Authors and funding
9 authors.
Funding
Abstract
The evolution of breast tumors greatly depends on the interaction network among different cell types, including immune cells and cancer cells in the tumor. This study takes advantage of newly collected rich spatio-temporal mouse data to develop a data-driven mathematical model of breast tumors that considers cells' location and key interactions in the tumor. The results show that cancer cells have a minor presence in the area with the most overall immune cells, and the number of activated immune cells in the tumor is depleted over time when there is no influx of immune cells. Interestingly, in the case of the influx of immune cells, the highest concentrations of both T cells and cancer cells are in the boundary of the tumor, as we use the Robin boundary condition to model the influx of immune cells. In other words, the influx of immune cells causes a dominant outward advection for cancer cells. We also investigate the effect of cells' diffusion and immune cells' influx rates in the dynamics of cells in the tumor micro-environment. Sensitivity analyses indicate that cancer cells and adipocytes' diffusion rates are the most sensitive parameters, followed by influx and diffusion rates of cytotoxic T cells, implying that targeting them is a possible treatment strategy for breast cancer.
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Registered trials
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